# The life expectancy of a female whose current age is x years old is f(x)=0.0069502x2−1.6357x+93.76 60≤x≤75) years.Whose current age is 75?

Advances in medical science and healthier lifestyles have resulted in longer life expectancies. The life expectancy of a female whose current age is x years old is $$f(x)=0.0069502x2−1.6357x+93.76 (60≤x≤75)$$ years. What is the life expectancy of a female whose current age is 65? Whose current age is 75?

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Using the given function for life expectancy of female whose current age is x years old, the life expectancy of a female whose curreny age is 65 is $$f(65)=0.0069502(65)^2-1.6357(65)+93.76$$

$$=29.364595-106.3205+93.76$$

$$\approx16.8$$ years
The life expectancy of a female whose current age is 75 is

$$f(75)=0.0069502(75)^2-1.6357(75)+93.76$$

$$=39.094875-122.6775+93.76$$

$$\approx10.2$$ years